Disclosure of Invention
Aiming at the problem that the prior art lacks of relevant research for improving the mode number of the sound track angular momentum of the vortex sound field, the invention provides a method and a device for generating a super-mode synthetic vortex sound field, and the method and the device aim at the following steps: with a limited number of transducer elements, an infinite number of modes is generated by position and phase steering of each transducer in the array.
A method for generating a super-mode number synthetic vortex sound field,
the method comprises the following steps:
(1) constructing a transducer array consisting of N transducer units, wherein each transducer unit emits a sound field to generate an initial sound field;
(2) simultaneously changing the positions of the transducer units and the phase of a sound field emitted by each transducer unit, generating one sound field once every change, and generating s sound fields for s times, wherein the mode of changing the positions of the transducer units is to integrally rotate the transducer array;
(3) superposing the initial sound field generated in the step (1) and the s sound fields generated in the step (2) to obtain a super-mode number synthetic vortex sound field;
wherein N, s is an integer greater than 0 and N s is not less than 4.
Preferably, the transducer array forms a virtual composite transducer array before and after rotation, and the number of array elements in the composite transducer array is Ns,Ns=(s+1)×N。
Preferably, the array elements of the array of the composite transducer are arranged on a circle or concentric circles formed by at least two circles, and preferably, the array elements on each circle are uniformly arranged.
Preferably, the array elements of the synthesis transducer array are arranged on a circle, and the phase of the sound field generated by the mth array element in the synthesis transducer array is:
wherein m is more than or equal to 1 and less than or equal to N
sM is an integer, α' is the number of modes of the synthetic vortex acoustic field,
preferably, the transducer array is formed by arranging transducer elements on a ring, and the transducer array rotates around a rotating shaft passing through the center of the ring; preferably, the transducer array is uniformly arranged on the circular ring.
Preferably, the phase of the acoustic field with the initial phase generated by the nth transducer element is:
wherein N is more than or equal to 1 and less than or equal to N, N is an integer, alpha' is a synthesis mode number,
and/or, the transducer array is rotated each time by an angle of
After the nth transducer element rotates for the ith time, the phase of the generated sound field is:
wherein i is more than or equal to 1 and less than or equal to s, N is more than or equal to 1 and less than or equal to N, i and N are integers, alpha' is a synthesis mode number,
the invention also provides a vortex sound field generated by the method.
The invention also provides the vortex sound field for underwater communication or acoustic imaging.
The invention also provides a device for generating the super-mode number synthetic vortex sound field, which comprises a transducer array formed by a rotating device and at least one transducer unit, wherein the rotating device is used for driving the transducer array to rotate.
Preferably, in the transducer array, the transducer units are arranged in an equidistant manner on a circular ring; the rotating device drives the rotating shaft of the transducer array to rotate to pass through the circle center of a circular ring formed by the transducer units; preferably, the rotating device is a precision rotating table.
The invention also provides underwater communication or acoustic imaging equipment comprising the device.
In the present invention, the symbol "+" indicates multiplication. The "number of modes" indicates a very high number of modes, and the synthetic vortex ultrasound field generated by the method of the present invention with a limited number of transducer elements has a significantly higher number of modes (i.e. a higher maximum number of synthetic modes) than the vortex ultrasound field generated by the prior art method.
The method of the sound field superposition is as follows: and (2) carrying out vector addition on the initial sound field generated in the step (1) and the expressions (or measured values) of the s sound fields generated in the step (2) to obtain a new expression (measured value), wherein the sound field represented by the new expression (measured value) is the superposed sound field. The expression refers to the detection point
The sound pressure expression of (1).
The "axis of the ring" refers to a center line on the ring, which passes through the center of the ring and is perpendicular to the plane of the ring.
The invention has the following advantages: (1) the method can simply and effectively improve the number of the acoustic track angular momentum modes, obtain a vortex ultrasonic field with a higher mode, and further improve the directivity and the azimuth resolution of the vortex sound field. (2) According to the technical scheme, the number of the sound track angular momentum modes can be increased through the limited number of the transducer units, a vortex sound field with a higher mode is generated, and the limitation that the number of the transducer units is increased when the number of the sound track angular momentum modes is increased in the prior art is overcome, so that the device for generating the vortex sound field with the high mode is simpler in structure and smaller in size, and a technical path is provided for realizing high-resolution imaging by utilizing sound waves. (3) Through the construction of a vortex sound field with higher mode, the capacity of system information acquisition can be increased.
Therefore, the method and the device for generating the vortex sound field are used for underwater communication or acoustic imaging, can achieve the effect of improving the channel capacity and/or the resolution ratio of the device, and have good application prospects.
Obviously, many modifications, substitutions, and variations are possible in light of the above teachings of the invention, without departing from the basic technical spirit of the invention, as defined by the following claims.
The present invention will be described in further detail with reference to the following examples. This should not be understood as limiting the scope of the above-described subject matter of the present invention to the following examples. All the technologies realized based on the above contents of the present invention belong to the scope of the present invention.
Detailed Description
The technical solution of the present application is further described below by specific examples.
The prior art method of generating a vortical acoustic field by a uniform circular transducer array is as follows:
assuming that a uniform circular array of N circular transducers is located in the XOY plane, as shown in FIG. 1, the array radius is R and the modulation azimuth angle (i.e., the phase of the generated sound field) of the nth transducer is φ n2 pi (N-1) α/N, α is the topological charge number (i.e., the mode number). For each transducer an excitation signal is applied:
sn=A*exp(j2πft+jφn) (1-1)
where A is the amplitude of the acoustic wave, f is the signal frequency, t is time, and j is the imaginary unit.
Let observation point T have coordinates (x, y, z) in rectangular coordinate system and coordinates (x, y, z) in spherical polar coordinate system
Wherein r is the distance between the observation point and the origin of coordinates,
is the included angle between the connecting line of the observation point and the coordinate axis origin and the X axis, and theta is the included angle between the connecting line of the observation point and the coordinate axis origin and the Z axis. Then, the sound pressure detected by the observation point is:
wherein k is a number of waves in the sample,
for the transducer attitude in spherical coordinates,
R
nfor the distance, R, of any transducer to the observation point T
nCan be expressed as:
when N transducers are superposed, detecting points
The sound pressure of can be expressed as
Expanding the complex exponential form of equations (1-4) into a trigonometric form:
after the multiple transducers are superposed, the amplitude expression of the sound field is formed as follows: :
the sound field phase is formed by the following expression:
the experimental parameters used are frequency f 1000Hz, sound velocity c 340m/s, acoustic amplitude a 1, number of array elements N8, number of modes α 1, 2, 3, 4, and array radius R0.2 m. As shown in fig. 2, the vortex acoustic field obtained by the equations (1-6) and (1-7) is not able to form a vortex field when α is 4 as seen from fig. 2. The characteristics of the vortex sound field are that the central sound intensity is 0, and the wave front in the propagation direction is spiral. The characteristic of which comes from the phase distribution of the linear change of the wave front.
Example (b): the invention relates to a vortex sound field of a super-mode synthetic orbit angular momentum mode number
In this embodiment, the parameters are defined as follows:
the number of the original transducer units is N;
the number of transducer elements in the composite transducer array is Ns;Ns=(s+1)×N;
The number of the synthesized modes is alpha ', alpha' is an integer and satisfies the following conditions:
the number of vortex field modes which can be formed by the original N original transducer units is alpha, alpha is an integer and satisfies the following conditions:
if the synthesis mode number is α', the modulation phase difference between two adjacent transducer elements in the synthesized transducer array is:
the number of times the transducer array rotates is recorded as s;
the array of synthesized transducers refers to: when the transducer units for synthesizing the vortex sound field generate the sound field, the positions of the transducer units are used as an array formed by array elements. For example, in the prior art, without rotation of the transducer array, the composite transducer array is the original transducer array. If the transducer array is rotated once, a combination of the original transducer array and the rotated transducer array is synthesized. Figure 3 shows the base array of transducer elements rotated before and twice and the resultant transducer array they form.
Therefore, if a large α' is to be obtained, the number N of transducer elements of the composite transducer array needs to be increaseds. In the conventional method, the number N of original transducer elements must be increased. To is pairWith this method, only the number of rotations s of the original transducer array needs to be increased.
Specifically, the operation method of this embodiment is:
(1) the N transducer units are uniformly distributed on a ring with the radius of R, the obtained annular transducer array is controlled by a precision rotating platform, and the precision rotating platform can drive the annular transducer array to rotate in a set direction (clockwise or anticlockwise).
(2) If a virtual vortex sound field with the number of modes alpha' is to be synthesized, the phase of the sound field generated by the nth transducer unit is
Wherein
(3) If the number of array elements to be synthesized is N
sThe annular transducer array needs to be rotated k-1 times, so that N is the number of times
skN. The ring is controlled by accurate revolving stage, and accurate revolving stage will drive the transducer array and rotate according to setting for the direction (clockwise or anticlockwise), and the rotatory angle of annular transducer array is every time:
after the energy device array rotates for the ith time (i is more than or equal to 1 and less than or equal to s), the phase of the sound field emitted by the nth energy converter in sequence is as follows:
wherein
(4) And superposing the original sound fields with different modal numbers formed by the array at different positions, and synthesizing to obtain the vortex sound field with the synthetic orbital angular momentum mode number.
The method of the sound field superposition is as follows: a table of the initial sound field generated in step (1) and the s sound fields generated in step (2)And vector addition is carried out on the expressions (or the measured values) to obtain a new expression (measured value), and the sound field represented by the new expression (measured value) is the superposed sound field. The expression refers to the detection point
The sound pressure expression of (1).
The results obtained by the above-described method are shown in FIG. 4. The sound field with 4 (equal to N/2) patterns generated by the basic array of transducers with N-8 is shown in fig. 4(a), the sound field with 4 patterns generated by rotating the basic array once is shown in fig. 4(b), and the two generated sound fields are superposed to simulate and synthesize NsA vortex acoustic field with a mode number of 4 is generated for the 16 transducer array as shown in fig. 4 (c). As shown in fig. 5, the generation of an acoustic field with a pattern number of 8 directly with a basic array of transducers with N-24 is shown in fig. 5 (a). If a synthetic vortex acoustic field with 8 modes is generated by using an N-8 transducer fundamental array, the array needs to be rotated twice, and the phase needs to be changed after the spatial position of the array is rotated. The initial acoustic field produced with the N-8 transducer base array is shown in fig. 5 (b); the transducer basic array with N-8 rotates once, and after the phase of the sound field emitted by each transducer unit is changed correspondingly, the sound field generated is as shown in fig. 5 (c); the transducer basic array with N-8 is rotated again, the phases of the sound fields emitted by the transducer units are changed correspondingly, the generated sound fields are as shown in fig. 5(d), the sound fields emitted by the array at three different spatial positions are superposed, and the obtained synthetic vortex sound field with the number of modes of 8 is as shown in fig. 5 (e). By the method, the generation of the synthetic vortex sound field with 8 transducer units and 8 mode numbers is completed. Therefore, the method can realize the generation of the super-mode number vortex sound field by using less transducer units. Other parameters of this embodiment are consistent with those used in the method of generating a vortical acoustic field by a uniform circular transducer array described above.
In order to explain the advantages of the present application, the following describes the directivity of the sound field generated by the present embodiment. The directivity function of the circular transducer array used in this embodiment is:
where R is the array radius, c is the speed of sound, j is the imaginary unit, and a is the transducer element radius.
Fig. 6 shows the directivity of a vortex sound field with a number of modes of 3 directly generated by an N-8 transducer base array; fig. 7 is a basic array of transducers with N-8 in the embodiment, and the directivity of vortex sound field with mode number of 3 is synthesized by using the method;
fig. 8 is a directivity for generating a vortex sound field with a pattern number of 4 using an N-8 transducer base array; fig. 9 shows the directivity of the vortex sound field with the number of modes 4 synthesized by the method with one rotation of the transducer basic array with N-8 in the embodiment.
Obviously, from the comparison between fig. 6 and fig. 7, and the comparison between fig. 8 and fig. 9, it is found that the vortex sound field formed by the method has better directivity, and therefore, has better imaging resolution and better transmission performance in the imaging process and the data transmission process.
In the above embodiments, it can be seen that the vortex sound field with multiple modes can be synthesized by rotating the transducer array with a small number of transducer units, performing corresponding phase adjustment on each transducer unit, and superposing the vortex sound field generated after each rotation with the vortex sound field before the rotation. Compared with the prior art, the synthetic vortex ultrasonic field generated by the method has better directivity. The method is applied to equipment such as underwater communication and biomedical imaging, the number of transducer units can be reduced, and the equipment is simplified. The number of vortex sound field modes is increased, so that the information bearing capacity and the imaging resolution can be increased; the enhancement of the directivity also enables better imaging resolution and better transmission performance in the imaging process and the data transmission process. Thus, the application potential of the technology of the invention is huge.